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The distance of the point ( – 3, 4) from the origin is
If A and B are the points ( – 6, 7) and ( – 1, – 5) respectively, then the distance 2AB is equal to
Three consecutive vertices of a parallelogram ABCD are A(1, 2), B(1, 0) and C(4, 0). The co – ordinates of the fourth vertex D are
Explanation:
Coordinates are given for A(1 , 2) , B(1 , 0) and C(4 , 0)
Let coordinates of D be (x,y).
Since diagonals of a parallelogram bisect each other. at point O
Therefore O is the mid point of diagonal AC
The distance between the points ( – 1, – 5) and ( – 6, 7) is
The length of the median through A of ΔABC with vertices A(7, – 3), B(5, 3) and C(3, – 1) is
Explanation:
ABC is a triangle with A(7 , 3), B(5 , 3) and C(3 ,  1)
Let median on BC bisects BC at D. (AD is given as the median)
Explanation:
If given points are collinear, the area of triangle formed by these three points is 0.
If the distance between the points (p, – 5) and (2, 7) is 13 units, then the value of ‘p’ is
Explanation:
Let point A be (p,−5) and point B (2, 7) and distance between A and B = 13 units
The vertices of a quadrilateral are (1, 7), (4, 2), ( – 1, – 1) and ( – 4, 4). The quadrilateral is a
Explanation:
Let A (1, 7), B (4, 2), C(−1,−1) and D(−4,4) are the vertices of a quadrilateral ABCD.
Explanation:
Since x−coordinate is negative and y−coordinate is positive.Therefore, the point (−3,5) lies in II quadrant.
The sum is according to distance formula
= √(x₂x₁)²+(y₂y₁)²
= √(0p cos 25)² + (p cos 650)
= √(p cos 25)² + (p cos 65)²
= √(p cos 25)² + (p sin 25)²
= √(p² cos²25) + (a² sin²25)
= √p²(cos²25 + sin²25) we know that sin²Θ + cos²Θ = 1
= √p²(1)
= √p²
= p Units
The base of an equilateral triangle ABC lies on the y – axis. The co – ordinates of the point C is (0, – 3). If origin is the midpoint of BC, then the co – ordinates of B are
Explanation:
Let the coordinate of B be (0,a).
It is given that (0, 0) is the midpoint of BC.
Therefore 0 = (0 + 0) /2 , 0 =(a  3) /2 a  3 = 0 , a = 3
Therefore, the coordinates of B are (0, 3).
If the co – ordinates of a point are (3, – 7), then its ordinate is
Explanation:
Since y−coordinate of a point is called ordinate.its distance from the xaxis measured parralel to the y  axisTherefore, ordinate is −7.
The values of ‘y’ for which the distance between the points (2, – 3) and (10, y) is 10 units is
If A is point on the x – axis whose abscissa is 5 and B is the point (1, – 3), then the distance AB is
Explanation:
Since A is a point on the x  axis, therefore coordinates of A are (5 , 0)
The point where the perpendicular bisector of the line segment joining the points A(2, 5) and B(4, 7) cuts is:
Explanation:
Since, the point, where the perpendicular bisector of a line segment joining the points A(2 , 5) and B(4 , 7) cuts, is the midpoint of that line segment.
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